Perverse coherent sheaves

Abstract

We describe an analogue of the notion of a perverse sheaf in the setting of the derived category of coherent sheaves on an algebraic stack. Under strong additional assumptions the construction of coherent "intersection cohomology" complexes works. This paper supersedes the preprint arXiv:math/0005152 by the second author.

This is a correction of the published version. The minus sign was missing in the homological shift at several places in Proposition 4.11 and its proof